{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Controlling Output Image Size with `w`, `h`, and `unit` in `ggsave()`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "            <div id=\"kotlin_out_0\"></div>\n",
       "            <script type=\"text/javascript\">\n",
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       "                window.kotlinQueues = {};\n",
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       "                window.kotlinQueues[\"DataFrame\"] = resQueue;\n",
       "                window[\"call_DataFrame\"] = function(f) {\n",
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       "    script.type = \"text/javascript\";\n",
       "})];\n",
       "                var e = document.getElementById(\"kotlin_out_0\");\n",
       "                modifiers.forEach(function (gen) {\n",
       "                    var script = document.createElement(\"script\");\n",
       "                    gen(script)\n",
       "                    script.addEventListener(\"load\", function() {\n",
       "                        window[\"call_DataFrame\"] = function(f) {f();};\n",
       "                        window.kotlinQueues[\"DataFrame\"].forEach(function(f) {f();});\n",
       "                        window.kotlinQueues[\"DataFrame\"] = [];\n",
       "                    }, false);\n",
       "                    script.addEventListener(\"error\", function() {\n",
       "                        window[\"call_DataFrame\"] = function(f) {};\n",
       "                        window.kotlinQueues[\"DataFrame\"] = [];\n",
       "                        var div = document.createElement(\"div\");\n",
       "                        div.style.color = 'darkred';\n",
       "                        div.textContent = 'Error loading resource DataFrame';\n",
       "                        document.getElementById(\"kotlin_out_0\").appendChild(div);\n",
       "                    }, false);\n",
       "                    \n",
       "                    e.appendChild(script);\n",
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       "            </script>"
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     "output_type": "display_data"
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      "text/html": [
       "                <style>\n",
       "                :root {\n",
       "    --background: #fff;\n",
       "    --background-odd: #f5f5f5;\n",
       "    --background-hover: #d9edfd;\n",
       "    --header-text-color: #474747;\n",
       "    --text-color: #848484;\n",
       "    --text-color-dark: #000;\n",
       "    --text-color-medium: #737373;\n",
       "    --text-color-pale: #b3b3b3;\n",
       "    --inner-border-color: #aaa;\n",
       "    --bold-border-color: #000;\n",
       "    --link-color: #296eaa;\n",
       "    --link-color-pale: #296eaa;\n",
       "    --link-hover: #1a466c;\n",
       "}\n",
       "\n",
       ":root[theme=\"dark\"], :root [data-jp-theme-light=\"false\"], .dataframe_dark{\n",
       "    --background: #303030;\n",
       "    --background-odd: #3c3c3c;\n",
       "    --background-hover: #464646;\n",
       "    --header-text-color: #dddddd;\n",
       "    --text-color: #b3b3b3;\n",
       "    --text-color-dark: #dddddd;\n",
       "    --text-color-medium: #b2b2b2;\n",
       "    --text-color-pale: #737373;\n",
       "    --inner-border-color: #707070;\n",
       "    --bold-border-color: #777777;\n",
       "    --link-color: #008dc0;\n",
       "    --link-color-pale: #97e1fb;\n",
       "    --link-hover: #00688e;\n",
       "}\n",
       "\n",
       "p.dataframe_description {\n",
       "    color: var(--text-color-dark);\n",
       "}\n",
       "\n",
       "table.dataframe {\n",
       "    font-family: \"Helvetica Neue\", Helvetica, Arial, sans-serif;\n",
       "    font-size: 12px;\n",
       "    background-color: var(--background);\n",
       "    color: var(--text-color-dark);\n",
       "    border: none;\n",
       "    border-collapse: collapse;\n",
       "}\n",
       "\n",
       "table.dataframe th, td {\n",
       "    padding: 6px;\n",
       "    border: 1px solid transparent;\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       "table.dataframe th {\n",
       "    background-color: var(--background);\n",
       "    color: var(--header-text-color);\n",
       "}\n",
       "\n",
       "table.dataframe td {\n",
       "    vertical-align: top;\n",
       "    white-space: nowrap;\n",
       "}\n",
       "\n",
       "table.dataframe th.bottomBorder {\n",
       "    border-bottom-color: var(--bold-border-color);\n",
       "}\n",
       "\n",
       "table.dataframe tbody > tr:nth-child(odd) {\n",
       "    background: var(--background-odd);\n",
       "}\n",
       "\n",
       "table.dataframe tbody > tr:nth-child(even) {\n",
       "    background: var(--background);\n",
       "}\n",
       "\n",
       "table.dataframe tbody > tr:hover {\n",
       "    background: var(--background-hover);\n",
       "}\n",
       "\n",
       "table.dataframe a {\n",
       "    cursor: pointer;\n",
       "    color: var(--link-color);\n",
       "    text-decoration: none;\n",
       "}\n",
       "\n",
       "table.dataframe tr:hover > td a {\n",
       "    color: var(--link-color-pale);\n",
       "}\n",
       "\n",
       "table.dataframe a:hover {\n",
       "    color: var(--link-hover);\n",
       "    text-decoration: underline;\n",
       "}\n",
       "\n",
       "table.dataframe img {\n",
       "    max-width: fit-content;\n",
       "}\n",
       "\n",
       "table.dataframe th.complex {\n",
       "    background-color: var(--background);\n",
       "    border: 1px solid var(--background);\n",
       "}\n",
       "\n",
       "table.dataframe .leftBorder {\n",
       "    border-left-color: var(--inner-border-color);\n",
       "}\n",
       "\n",
       "table.dataframe .rightBorder {\n",
       "    border-right-color: var(--inner-border-color);\n",
       "}\n",
       "\n",
       "table.dataframe .rightAlign {\n",
       "    text-align: right;\n",
       "}\n",
       "\n",
       "table.dataframe .expanderSvg {\n",
       "    width: 8px;\n",
       "    height: 8px;\n",
       "    margin-right: 3px;\n",
       "}\n",
       "\n",
       "table.dataframe .expander {\n",
       "    display: flex;\n",
       "    align-items: center;\n",
       "}\n",
       "\n",
       "/* formatting */\n",
       "\n",
       "table.dataframe .null {\n",
       "    color: var(--text-color-pale);\n",
       "}\n",
       "\n",
       "table.dataframe .structural {\n",
       "    color: var(--text-color-medium);\n",
       "    font-weight: bold;\n",
       "}\n",
       "\n",
       "table.dataframe .dataFrameCaption {\n",
       "    font-weight: bold;\n",
       "}\n",
       "\n",
       "table.dataframe .numbers {\n",
       "    color: var(--text-color-dark);\n",
       "}\n",
       "\n",
       "table.dataframe td:hover .formatted .structural, .null {\n",
       "    color: var(--text-color-dark);\n",
       "}\n",
       "\n",
       "table.dataframe tr:hover .formatted .structural, .null {\n",
       "    color: var(--text-color-dark);\n",
       "}\n",
       "\n",
       "\n",
       "                </style>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "   <div id=\"Do7HBk\"></div>\n",
       "   <script type=\"text/javascript\" data-lets-plot-script=\"library\">\n",
       "       if(!window.letsPlotCallQueue) {\n",
       "           window.letsPlotCallQueue = [];\n",
       "       }; \n",
       "       window.letsPlotCall = function(f) {\n",
       "           window.letsPlotCallQueue.push(f);\n",
       "       };\n",
       "       (function() {\n",
       "           var script = document.createElement(\"script\");\n",
       "           script.type = \"text/javascript\";\n",
       "           script.src = \"https://cdn.jsdelivr.net/gh/JetBrains/lets-plot@v4.7.2/js-package/distr/lets-plot.min.js\";\n",
       "           script.onload = function() {\n",
       "               window.letsPlotCall = function(f) {f();};\n",
       "               window.letsPlotCallQueue.forEach(function(f) {f();});\n",
       "               window.letsPlotCallQueue = [];\n",
       "               \n",
       "               \n",
       "           };\n",
       "           script.onerror = function(event) {\n",
       "               window.letsPlotCall = function(f) {};\n",
       "               window.letsPlotCallQueue = [];\n",
       "               var div = document.createElement(\"div\");\n",
       "               div.style.color = 'darkred';\n",
       "               div.textContent = 'Error loading Lets-Plot JS';\n",
       "               document.getElementById(\"Do7HBk\").appendChild(div);\n",
       "           };\n",
       "           var e = document.getElementById(\"Do7HBk\");\n",
       "           e.appendChild(script);\n",
       "       })();\n",
       "   </script>"
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     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "            <div id=\"kotlin_out_1\"></div>\n",
       "            <script type=\"text/javascript\">\n",
       "                            if(!window.kotlinQueues) {\n",
       "                window.kotlinQueues = {};\n",
       "            }\n",
       "            if(!window.kotlinQueues[\"letsPlotJs\"]) {\n",
       "                var resQueue = [];\n",
       "                window.kotlinQueues[\"letsPlotJs\"] = resQueue;\n",
       "                window[\"call_letsPlotJs\"] = function(f) {\n",
       "                    resQueue.push(f);\n",
       "                }\n",
       "            }\n",
       "            (function (){\n",
       "                var modifiers = [(function(script) {\n",
       "    script.src = \"https://cdn.jsdelivr.net/gh/JetBrains/lets-plot@v4.7.2/js-package/distr/lets-plot.min.js\"\n",
       "    script.type = \"text/javascript\";\n",
       "})];\n",
       "                var e = document.getElementById(\"kotlin_out_1\");\n",
       "                modifiers.forEach(function (gen) {\n",
       "                    var script = document.createElement(\"script\");\n",
       "                    gen(script)\n",
       "                    script.addEventListener(\"load\", function() {\n",
       "                        window[\"call_letsPlotJs\"] = function(f) {f();};\n",
       "                        window.kotlinQueues[\"letsPlotJs\"].forEach(function(f) {f();});\n",
       "                        window.kotlinQueues[\"letsPlotJs\"] = [];\n",
       "                    }, false);\n",
       "                    script.addEventListener(\"error\", function() {\n",
       "                        window[\"call_letsPlotJs\"] = function(f) {};\n",
       "                        window.kotlinQueues[\"letsPlotJs\"] = [];\n",
       "                        var div = document.createElement(\"div\");\n",
       "                        div.style.color = 'darkred';\n",
       "                        div.textContent = 'Error loading resource letsPlotJs';\n",
       "                        document.getElementById(\"kotlin_out_1\").appendChild(div);\n",
       "                    }, false);\n",
       "                    \n",
       "                    e.appendChild(script);\n",
       "                });\n",
       "            })();\n",
       "            </script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%useLatestDescriptors\n",
    "%use dataframe\n",
    "%use lets-plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Lets-Plot Kotlin API v.4.11.1. Frontend: Notebook with dynamically loaded JS. Lets-Plot JS v.4.7.2."
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "LetsPlot.getInfo()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "// Create a random density plot.\n",
    "\n",
    "val rand = java.util.Random(123)\n",
    "val n = 400\n",
    "val data = mapOf (\n",
    "    \"rating\" to List(n/2) { rand.nextGaussian() } + List(n/2) { rand.nextGaussian() * 1.5 + 1.5 },\n",
    "    \"cond\" to List(n/2) { \"A\" } + List(n/2) { \"B\" }\n",
    ")\n",
    "\n",
    "var p = letsPlot(data) +\n",
    "        geomDensity { x = \"rating\"; color = \"cond\" } + ggsize(500, 250)        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "// A helper function to show the result of ggsave in a cell.\n",
    "\n",
    "import java.io.File\n",
    "import javax.imageio.ImageIO\n",
    "\n",
    "fun showFile(path: String): Any {\n",
    "    val file = File(path)\n",
    "    val ext = file.extension.lowercase()\n",
    "\n",
    "    return when (ext) {\n",
    "        \"svg\", \"htm\", \"html\" -> HTML(file.readText())\n",
    "        else -> {\n",
    "            ImageIO.read(file)\n",
    "        }\n",
    "    }\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Export SVG to file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" display=\"block\" class=\"plt-container\" width=\"500.0\" height=\"250.0\">\n",
       "  <style type=\"text/css\">\n",
       "  .plt-container {\n",
       "   font-family: sans-serif;\n",
       "   user-select: none;\n",
       "   -webkit-user-select: none;\n",
       "   -moz-user-select: none;\n",
       "   -ms-user-select: none;\n",
       "}\n",
       "text {\n",
       "   text-rendering: optimizeLegibility;\n",
       "}\n",
       "#pdL5mLx .plot-title {\n",
       "fill: #474747;\n",
       "font-weight: normal;\n",
       "   font-style: normal;font-family: sans-serif;\n",
       "font-size: 16.0px;\n",
       "\n",
       "}\n",
       "#pdL5mLx .plot-subtitle {\n",
       "fill: #474747;\n",
       "font-weight: normal;\n",
       "   font-style: normal;font-family: sans-serif;\n",
       "font-size: 15.0px;\n",
       "\n",
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       "#pdL5mLx .plot-caption {\n",
       "fill: #474747;\n",
       "font-weight: normal;\n",
       "   font-style: normal;font-family: sans-serif;\n",
       "font-size: 13.0px;\n",
       "\n",
       "}\n",
       "#pdL5mLx .hyperlink-element {\n",
       "fill: #118ed8;\n",
       "font-weight: normal;\n",
       "   font-style: normal;\n",
       "}\n",
       "#pdL5mLx .legend-title {\n",
       "fill: #474747;\n",
       "font-weight: normal;\n",
       "   font-style: normal;font-family: sans-serif;\n",
       "font-size: 15.0px;\n",
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       "#pdL5mLx .legend-item {\n",
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       "font-weight: normal;\n",
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       "\n",
       "}\n",
       "#pdL5mLx .axis-title-x {\n",
       "fill: #474747;\n",
       "font-weight: normal;\n",
       "   font-style: normal;font-family: sans-serif;\n",
       "font-size: 15.0px;\n",
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       "#pdL5mLx .axis-text-x {\n",
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       "font-weight: normal;\n",
       "   font-style: normal;font-family: sans-serif;\n",
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       "\n",
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       "#d6dXULP .axis-tooltip-text-x {\n",
       "fill: #ffffff;\n",
       "font-weight: normal;\n",
       "   font-style: normal;font-family: sans-serif;\n",
       "font-size: 13.0px;\n",
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       "#pdL5mLx .axis-title-y {\n",
       "fill: #474747;\n",
       "font-weight: normal;\n",
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       "font-size: 15.0px;\n",
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       "#pdL5mLx .axis-text-y {\n",
       "fill: #474747;\n",
       "font-weight: normal;\n",
       "   font-style: normal;font-family: sans-serif;\n",
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       "#d6dXULP .axis-tooltip-text-y {\n",
       "fill: #ffffff;\n",
       "font-weight: normal;\n",
       "   font-style: normal;font-family: sans-serif;\n",
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       "\n",
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       "#pdL5mLx .facet-strip-text-x {\n",
       "fill: #474747;\n",
       "font-weight: normal;\n",
       "   font-style: normal;font-family: sans-serif;\n",
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       "#pdL5mLx .facet-strip-text-y {\n",
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       "font-weight: bold;\n",
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       "font-size: 13.0px;\n",
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     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "// By default the image inherits the plot size.\n",
    "showFile(ggsave(p, \"density.svg\"))\n",
    "\n",
    "// The result size is 500x250 pixels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
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       "#pOzL8IP .facet-strip-text-y {\n",
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       "font-size: 13.0px;\n",
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     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "// You can override the original plot size by specifying `w` and `h` parameters. \n",
    "// For SVG, the default unit is \"px\" (pixels).\n",
    "showFile(ggsave(p, \"density_300_200.svg\", w=300, h=200))\n",
    "\n",
    "// The result size is 300x200 pixels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
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       "              <text class=\"legend-item\" y=\"0.0\" dy=\"0.35em\">\n",
       "                <tspan>A</tspan>\n",
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       "          <g transform=\"translate(0.0 23.0 ) \">\n",
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       "              <text class=\"legend-item\" y=\"0.0\" dy=\"0.35em\">\n",
       "                <tspan>B</tspan>\n",
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       "    </g>\n",
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     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "// For \"in\", \"mm\", or \"cm\" units the actual size in pixels is defined by 96 dpi resolution.\n",
    "// The `dpi` parameter is ignored for SVG.\n",
    "showFile(ggsave(p, \"density_4_2in.svg\", w=4, h=2, unit=\"in\"))\n",
    "\n",
    "// The result size is 384x192 pixels; the physical size (4x2 in) is also saved in SVG attributes."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Export HTML to file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "   &lt;head>\n",
       "       &lt;meta charset=&quot;UTF-8&quot;>\n",
       "       &lt;style> html, body { margin: 0; padding: 0; overflow: hidden; } &lt;/style>\n",
       "       &lt;script type=&quot;text/javascript&quot; data-lets-plot-script=&quot;library&quot; src=&quot;https://cdn.jsdelivr.net/gh/JetBrains/lets-plot@v4.7.2/js-package/distr/lets-plot.min.js&quot;>&lt;/script>\n",
       "   &lt;/head>\n",
       "   &lt;body>\n",
       "          &lt;div id=&quot;8IHeTT&quot;>&lt;/div>\n",
       "   &lt;script type=&quot;text/javascript&quot; data-lets-plot-script=&quot;plot&quot;>\n",
       "   \n",
       "   (function() {\n",
       "   // ----------\n",
       "   \n",
       "   const forceImmediateRender = false;\n",
       "   const responsive = false;\n",
       "   \n",
       "   let sizing = {\n",
       "       width_mode: &quot;FIXED&quot;,\n",
       "       height_mode: &quot;FIXED&quot;,\n",
       "       width: 250.0, \n",
       "       height: 120.0 \n",
       "   };\n",
       "   \n",
       "   const preferredWidth = document.body.dataset.letsPlotPreferredWidth;\n",
       "   if (preferredWidth !== undefined) {\n",
       "       sizing = {\n",
       "           width_mode: 'FIXED',\n",
       "           height_mode: 'SCALED',\n",
       "           width: parseFloat(preferredWidth)\n",
       "       };\n",
       "   }\n",
       "   \n",
       "   const containerDiv = document.getElementById(&quot;8IHeTT&quot;);\n",
       "   let fig = null;\n",
       "   \n",
       "   function renderPlot() {\n",
       "       if (fig === null) {\n",
       "           const plotSpec = {\n",
       "&quot;mapping&quot;:{\n",
       "},\n",
       "&quot;data&quot;:{\n",
       "},\n",
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       "&quot;width&quot;:500.0,\n",
       "&quot;height&quot;:250.0\n",
       "},\n",
       "&quot;kind&quot;:&quot;plot&quot;,\n",
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       "&quot;stat&quot;:&quot;density&quot;,\n",
       "&quot;position&quot;:&quot;identity&quot;,\n",
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       "&quot;..quantile..&quot;:[0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0]\n",
       "}\n",
       "}],\n",
       "&quot;data_meta&quot;:{\n",
       "&quot;series_annotations&quot;:[{\n",
       "&quot;type&quot;:&quot;float&quot;,\n",
       "&quot;column&quot;:&quot;rating&quot;\n",
       "},{\n",
       "&quot;type&quot;:&quot;str&quot;,\n",
       "&quot;column&quot;:&quot;cond&quot;\n",
       "}]\n",
       "},\n",
       "&quot;spec_id&quot;:&quot;4&quot;\n",
       "};\n",
       "           fig = LetsPlot.buildPlotFromProcessedSpecs(plotSpec, containerDiv, sizing);\n",
       "       } else {\n",
       "           fig.updateView({});\n",
       "       }\n",
       "   }\n",
       "   \n",
       "   const renderImmediately = \n",
       "       forceImmediateRender || (\n",
       "           sizing.width_mode === 'FIXED' &amp;&amp; \n",
       "           (sizing.height_mode === 'FIXED' || sizing.height_mode === 'SCALED')\n",
       "       );\n",
       "   \n",
       "   if (renderImmediately) {\n",
       "       renderPlot();\n",
       "   }\n",
       "   \n",
       "   if (!renderImmediately || responsive) {\n",
       "       // Set up observer for initial sizing or continuous monitoring\n",
       "       var observer = new ResizeObserver(function(entries) {\n",
       "           for (let entry of entries) {\n",
       "               if (entry.contentBoxSize &amp;&amp; \n",
       "                   entry.contentBoxSize[0].inlineSize > 0) {\n",
       "                   if (!responsive &amp;&amp; observer) {\n",
       "                       observer.disconnect();\n",
       "                       observer = null;\n",
       "                   }\n",
       "                   renderPlot();\n",
       "                   if (!responsive) {\n",
       "                       break;\n",
       "                   }\n",
       "               }\n",
       "           }\n",
       "       });\n",
       "       \n",
       "       observer.observe(containerDiv);\n",
       "   }\n",
       "   \n",
       "   // ----------\n",
       "   })();\n",
       "   \n",
       "   &lt;/script>\n",
       "   &lt;/body>\n",
       "&lt;/html>\"></iframe>    "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "// For HTML, `w` and `h` are always treated in pixels.\n",
    "// The `unit` and `dpi` parameters are ignored.\n",
    "showFile(ggsave(p, \"density.html\", w=250, h=120))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Export PNG/JPG/TIFF to file"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The file extension determines the raster format (PNG, JPG, or TIFF). \n",
    "Parameters behave the same across these formats; the examples here use PNG."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "class java.awt.image.BufferedImage: 1000x500 px"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "// With no size parameters, the default `scale=2` is applied to the original plot size (500x250).\n",
    "showFile(ggsave(p, \"density.png\"))\n",
    "\n",
    "// The result size is 1000x500 pixels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "class java.awt.image.BufferedImage: 500x250 px"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "// To get the original plot size, set `scale=1` explicitly.\n",
    "showFile(ggsave(p, \"density_scale1.png\", scale=1))\n",
    "\n",
    "// The result size is 500x250 pixels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "class java.awt.image.BufferedImage: 900x600 px"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "// For raster formats, the default unit is `\"in\"` and `dpi` is 300.\n",
    "// When `w` and `h` are given, the default scale is 1.\n",
    "showFile(ggsave(p, \"density_3_2in.png\", w=3, h=2))\n",
    "\n",
    "// The result size is 900x600 pixels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "class java.awt.image.BufferedImage: 900x600 px"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "// Changing dpi affects the pixel dimensions for physical units.\n",
    "// 4.5 in × 3 in at 200 dpi produces the same pixel size as 3 in × 2 in at 300 dpi.\n",
    "// You can observe the difference by comparing the font size on the screen.\n",
    "\n",
    "showFile(ggsave(p, \"density_3_2in_dpi200.png\", w=4.5, h=3, dpi=200))\n",
    "\n",
    "// The result size is still 900x600 pixels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "class java.awt.image.BufferedImage: 473x238 px"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "// Using centimeters as the unit.\n",
    "// 6 cm × 3 cm = 2.36 in × 1.18 in → multiplied by 200 dpi.\n",
    "showFile(ggsave(p, \"density_3_2cm.png\", w=6, h=3, unit=\"cm\", dpi=200))\n",
    "\n",
    "// The result size is 473x238 pixels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "class java.awt.image.BufferedImage: 300x200 px"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "// To specify the exact pixel size, set `unit = \"px\"`.\n",
    "showFile(ggsave(p, \"density_300_200.png\", w=300, h=200, unit=\"px\"))\n",
    "\n",
    "// The result size is 300x200 pixels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "class java.awt.image.BufferedImage: 600x400 px"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "// The `scale` parameter is applied after size and dpi calculations.\n",
    "showFile(ggsave(p, \"density_300_200_x2.png\", w=300, h=200, unit=\"px\", scale=2))\n",
    "\n",
    "// The result size is 600x400 pixels."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Kotlin",
   "language": "kotlin",
   "name": "kotlin"
  },
  "language_info": {
   "codemirror_mode": "text/x-kotlin",
   "file_extension": ".kt",
   "mimetype": "text/x-kotlin",
   "name": "kotlin",
   "nbconvert_exporter": "",
   "pygments_lexer": "kotlin",
   "version": "1.9.23"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
